High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM

Mohammadimehr, Mehdi; Shahedi, Saeid

doi:10.1016/j.compositesb.2016.09.040

Cited by 43 publications

(14 citation statements)

References 44 publications

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“…Also the top and bottom facesheets with thickness ht and hb are made of polymethyl methacrylate (PMMA) as a matrix and single-walled carbon nanotubes as a reinforcement and their properties are presented in Tables 1 and 2. The rule of mixture has been handled to estimate the effective material properties of CNT reinforced matrix as follows [34] where η1,η2, and η3 are the force transformation between CNTs and PMMA matrix that they are defined in Table 3. E11,E22, and G12 are the Young’s moduli and the shear modulus of the CNT, and VCNT and Vm are the volume fraction of the CNT and the matrix, respectively, that there is the following formulation between them …”

Section: Theoretical Formulationmentioning

confidence: 99%

“…Strain–displacement relations based on first shear deformation theory can be derived as follows where εr and εθ are the normal strains and εrθ, εrz, and εθz are the shear strains. The equation of motion based on Hamilton’s principle is defined as follows [34] where δΠU, δΠV, and δΠK are the variations of strain energy, work done, and kinetic energy, respectively. The work done by external and shear forces for FSDT can be stated as follows where Nr is shear forces and it should be noted that all order ∂/∂θ=0 because of the symmetric about θ axis.…”

Section: Theoretical Formulationmentioning

confidence: 99%

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Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory

Mohammadimehr

Emdadi

Navi

2018

Jnl of Sandwich Structures & Materials

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In this article, dynamic stability of annular sandwich plate with carbon nanotubes reinforced composite facesheets and an isotropic homogeneous core are presented based on first-order shear deformation theory and modified strain gradient theory. The generalized rule of mixture is employed to predict mechanical properties of microcomposite sandwich plate. The equations of motion are derived from Hamilton’s principle and solved by differential quadrature method. The fast rate of convergence of the method is shown and the results are compared against existing results in the literature. The results indicate that volume fraction of carbon nanotubes in facesheets and dimensionless length scale parameter has significant effects on the dynamic stability region and the parametric resonance. Dynamic stability region increases with considering of dimensionless length scale parameter, increasing of volume fraction of carbon nanotubes, and static load factor. Also, the influence of inner-to-outer radius ratios, radius-to-thickness ratios, and core-to-facesheets ratios are considered. The results can be employed for design of materials science, in junction high pressure micropipe connections, solid-state physics, micro-electro-mechanical systems, and nano electromechanical systems such as microactuators and microsensor.

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Section: Theoretical Formulationmentioning

confidence: 99%

Section: Theoretical Formulationmentioning

confidence: 99%

Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory

Mohammadimehr

Emdadi

Navi

2018

Jnl of Sandwich Structures & Materials

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“…They studied various parameters of the sandwich plate. In another work, Mohammadimehr and Shahedi analyzed about vibration two types of the sandwich beam. This structure includes CNTs reinforced nano‐composite layers and foam core.…”

Section: Introductionmentioning

confidence: 99%

Size‐dependent free vibration of sandwich micro beam with porous core subjected to thermal load based on SSDBT

2019

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In this study, free vibration of the sandwich microbeam with porous core and FG carbon nanotubes reinforced composite face sheets which is rested on Winkler‐Pasternak substrate is investigated. It is assumed the beam is in thermal environment and is subjected to thermal load and the displacement components are described based on sinusoidal shear deformation beam theory. The small scale effects are taken into account according to the modified couple stress theory. The core and face sheets properties are diffused through the thickness. The motion equations are derived and solved using Hamilton's principle and Navier's method, respectively. Effect of different parameters such as porosity coefficient and distributions, different types of CNTs distribution, small scale and geometrical size of the beam is considered. The results show by enhancing the porosity, the frequency decreased. The findings of the current study can be used to design prominent role in modern engineering applications.

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“…(2016) studied free vibration analysis of the MEE cylindrical composite panel reinforced by CNT alongside considering open and closed circuits' boundary conditions. Mohammadimehr and Rostami (2017) studied bending, buckling, and forced vibration analysis of a nonlocal nanocomposite microplate considering MEE properties. They investigated the effect of some important parameters of the sandwich microplate such as elastic foundation parameters, length to thickness ratio, and electric and magnetic fields on critical buckling load and natural frequency.…”

Section: Introductionmentioning

confidence: 99%

Analysis of sandwich Timoshenko porous beam with temperature-dependent material properties: Magneto-electro-elastic vibration and buckling solution

Bamdad

Mohammadimehr

Alambeigi

2019

Journal of Vibration and Control

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Vibration and buckling analysis of a magneto-electro-elastic sandwich Timoshenko beam with a porous core and poly-vinylidene fluoride (PVDF) matrix reinforced by carbon nanotubes (CNTs) is considered as face layers and material properties of CNTs and PVDF are assumed to be temperature-dependent. Different CNT distribution patterns including uniform distribution, AV (which top and bottom face sheets have functionally graded-A (FG-A) and functionally graded-V (FG-V) CNT distribution patterns, respectively) and VA patterns are employed. The governing equations of motion are derived based on Timoshenko beam theory, and Navier's solution is used to solve these equations. The sandwich beam resting on a Pasternak foundation and face layers are subjected to electric and magnetic potentials. The effect of different parameters such as porosity coefficient, electric and magnetic potential, parameters of foundation, and geometrical parameters are investigated on vibration and buckling behavior of the sandwich beam. Numerical results of this paper show that porosity distribution has a significant effect on the stiffness of the sandwich beam. The results can be used for future analysis of magneto-electro-mechanical sandwich systems as actuators and sensors.

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High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM

Cited by 43 publications

References 44 publications

Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory

Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory

Size‐dependent free vibration of sandwich micro beam with porous core subjected to thermal load based on SSDBT

Analysis of sandwich Timoshenko porous beam with temperature-dependent material properties: Magneto-electro-elastic vibration and buckling solution

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